Algebra Examples

$9 x + a y + 9 y + a x$

Step 1

Reorder terms.

$a y + a x + 9 x + 9 y$

Step 2

Factor out the greatest common factor from each group.

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Step 2.1

Group the first two terms and the last two terms.

$(a y + a x) + 9 x + 9 y$

Step 2.2

Factor out the greatest common factor (GCF) from each group.

$a (x + y) + 9 (x + y)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $x + y$ .

$(x + y) (a + 9)$